Dataset statistics
| Number of variables | 17 |
|---|---|
| Number of observations | 896 |
| Missing cells | 1134 |
| Missing cells (%) | 7.4% |
| Duplicate rows | 0 |
| Duplicate rows (%) | 0.0% |
| Total size in memory | 268.9 KiB |
| Average record size in memory | 307.3 B |
Variable types
| NUM | 12 |
|---|---|
| CAT | 4 |
| UNSUPPORTED | 1 |
Category has constant value "896" | Constant |
Year has constant value "896" | Constant |
DBN has a high cardinality: 216 distinct values | High cardinality |
Level 2# is highly correlated with Students Tested | High correlation |
Students Tested is highly correlated with Level 2# | High correlation |
Level 3 and 4# is highly correlated with Level 3# | High correlation |
Level 3# is highly correlated with Level 3 and 4# | High correlation |
Level 3 and 4% is highly correlated with Mean Scale Score and 1 other fields | High correlation |
Mean Scale Score is highly correlated with Level 3 and 4% | High correlation |
Level 3% is highly correlated with Level 3 and 4% | High correlation |
NYC Results on the New York State 2006 Math Test (Grades 3-8) has 896 (100.0%) missing values | Missing |
Mean Scale Score has 218 (24.3%) missing values | Missing |
DBN is uniformly distributed | Uniform |
NYC Results on the New York State 2006 Math Test (Grades 3-8) is an unsupported type, check if it needs cleaning or further analysis | Unsupported |
Level 1# has 19 (2.1%) zeros | Zeros |
Level 1% has 19 (2.1%) zeros | Zeros |
Level 4# has 75 (8.4%) zeros | Zeros |
Level 4% has 75 (8.4%) zeros | Zeros |
Reproduction
| Analysis started | 2020-12-12 21:53:30.692810 |
|---|---|
| Analysis finished | 2020-12-12 21:53:44.814962 |
| Duration | 14.12 seconds |
| Software version | pandas-profiling v2.9.0 |
| Download configuration | config.yaml |
| Distinct | 216 |
|---|---|
| Distinct (%) | 24.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Memory size | 7.1 KiB |
| 11X083 | 7 |
|---|---|
| 10X315 | 7 |
| 10X095 | 7 |
| 09X004 | 7 |
| 11X194 | 7 |
| Other values (211) |
| Value | Count | Frequency (%) | |
| 11X083 | 7 | 0.8% | |
| 10X315 | 7 | 0.8% | |
| 10X095 | 7 | 0.8% | |
| 09X004 | 7 | 0.8% | |
| 11X194 | 7 | 0.8% | |
| 12X211 | 7 | 0.8% | |
| 11X089 | 7 | 0.8% | |
| 10X015 | 7 | 0.8% | |
| 12X214 | 7 | 0.8% | |
| 10X003 | 7 | 0.8% | |
| 10X279 | 7 | 0.8% | |
| 11X175 | 7 | 0.8% | |
| 11X019 | 7 | 0.8% | |
| 10X020 | 7 | 0.8% | |
| 10X037 | 7 | 0.8% | |
| 09X218 | 7 | 0.8% | |
| 12X212 | 7 | 0.8% | |
| 07X029 | 6 | 0.7% | |
| 10X280 | 6 | 0.7% | |
| 07X025 | 6 | 0.7% | |
| 07X031 | 6 | 0.7% | |
| 10X306 | 6 | 0.7% | |
| 08X071 | 5 | 0.6% | |
| 12X134 | 5 | 0.6% | |
| 08X093 | 5 | 0.6% | |
| Other values (191) | 732 | 81.7% |
Frequencies of value counts
Unique
| Unique | 0 ? |
|---|---|
| Unique (%) | 0.0% |
Histogram of lengths of the category
Length
| Max length | 6 |
|---|---|
| Median length | 6 |
| Mean length | 6 |
| Min length | 6 |
Most occurring characters
| Value | Count | Frequency (%) | |
| 0 | 1213 | 22.6% | |
| 1 | 1123 | 20.9% | |
| X | 896 | 16.7% | |
| 2 | 487 | 9.1% | |
| 9 | 366 | 6.8% | |
| 3 | 275 | 5.1% | |
| 8 | 259 | 4.8% | |
| 7 | 240 | 4.5% | |
| 5 | 187 | 3.5% | |
| 4 | 167 | 3.1% | |
| 6 | 163 | 3.0% |
Most occurring categories
| Value | Count | Frequency (%) | |
| Decimal Number | 4480 | 83.3% | |
| Uppercase Letter | 896 | 16.7% |
Most frequent Decimal Number characters
| Value | Count | Frequency (%) | |
| 0 | 1213 | 27.1% | |
| 1 | 1123 | 25.1% | |
| 2 | 487 | 10.9% | |
| 9 | 366 | 8.2% | |
| 3 | 275 | 6.1% | |
| 8 | 259 | 5.8% | |
| 7 | 240 | 5.4% | |
| 5 | 187 | 4.2% | |
| 4 | 167 | 3.7% | |
| 6 | 163 | 3.6% |
Most frequent Uppercase Letter characters
| Value | Count | Frequency (%) | |
| X | 896 | 100.0% |
Most occurring scripts
| Value | Count | Frequency (%) | |
| Common | 4480 | 83.3% | |
| Latin | 896 | 16.7% |
Most frequent Common characters
| Value | Count | Frequency (%) | |
| 0 | 1213 | 27.1% | |
| 1 | 1123 | 25.1% | |
| 2 | 487 | 10.9% | |
| 9 | 366 | 8.2% | |
| 3 | 275 | 6.1% | |
| 8 | 259 | 5.8% | |
| 7 | 240 | 5.4% | |
| 5 | 187 | 4.2% | |
| 4 | 167 | 3.7% | |
| 6 | 163 | 3.6% |
Most frequent Latin characters
| Value | Count | Frequency (%) | |
| X | 896 | 100.0% |
Most occurring blocks
| Value | Count | Frequency (%) | |
| ASCII | 5376 | 100.0% |
Most frequent ASCII characters
| Value | Count | Frequency (%) | |
| 0 | 1213 | 22.6% | |
| 1 | 1123 | 20.9% | |
| X | 896 | 16.7% | |
| 2 | 487 | 9.1% | |
| 9 | 366 | 6.8% | |
| 3 | 275 | 5.1% | |
| 8 | 259 | 4.8% | |
| 7 | 240 | 4.5% | |
| 5 | 187 | 3.5% | |
| 4 | 167 | 3.1% | |
| 6 | 163 | 3.0% |
Grade
Categorical
| Distinct | 7 |
|---|---|
| Distinct (%) | 0.8% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Memory size | 7.1 KiB |
| All Grades | |
|---|---|
| 3 | |
| 4 | |
| 5 | |
| 6 | |
| Other values (2) |
| Value | Count | Frequency (%) | |
| All Grades | 216 | 24.1% | |
| 3 | 140 | 15.6% | |
| 4 | 139 | 15.5% | |
| 5 | 132 | 14.7% | |
| 6 | 110 | 12.3% | |
| 7 | 88 | 9.8% | |
| 8 | 71 | 7.9% |
Frequencies of value counts
Unique
| Unique | 0 ? |
|---|---|
| Unique (%) | 0.0% |
Histogram of lengths of the category
Length
| Max length | 10 |
|---|---|
| Median length | 1 |
| Mean length | 3.169642857 |
| Min length | 1 |
Most occurring characters
| Value | Count | Frequency (%) | |
| l | 432 | 15.2% | |
| A | 216 | 7.6% | |
| 216 | 7.6% | ||
| G | 216 | 7.6% | |
| r | 216 | 7.6% | |
| a | 216 | 7.6% | |
| d | 216 | 7.6% | |
| e | 216 | 7.6% | |
| s | 216 | 7.6% | |
| 3 | 140 | 4.9% | |
| 4 | 139 | 4.9% | |
| 5 | 132 | 4.6% | |
| 6 | 110 | 3.9% | |
| 7 | 88 | 3.1% | |
| 8 | 71 | 2.5% |
Most occurring categories
| Value | Count | Frequency (%) | |
| Lowercase Letter | 1512 | 53.2% | |
| Decimal Number | 680 | 23.9% | |
| Uppercase Letter | 432 | 15.2% | |
| Space Separator | 216 | 7.6% |
Most frequent Decimal Number characters
| Value | Count | Frequency (%) | |
| 3 | 140 | 20.6% | |
| 4 | 139 | 20.4% | |
| 5 | 132 | 19.4% | |
| 6 | 110 | 16.2% | |
| 7 | 88 | 12.9% | |
| 8 | 71 | 10.4% |
Most frequent Uppercase Letter characters
| Value | Count | Frequency (%) | |
| A | 216 | 50.0% | |
| G | 216 | 50.0% |
Most frequent Lowercase Letter characters
| Value | Count | Frequency (%) | |
| l | 432 | 28.6% | |
| r | 216 | 14.3% | |
| a | 216 | 14.3% | |
| d | 216 | 14.3% | |
| e | 216 | 14.3% | |
| s | 216 | 14.3% |
Most frequent Space Separator characters
| Value | Count | Frequency (%) | |
| 216 | 100.0% |
Most occurring scripts
| Value | Count | Frequency (%) | |
| Latin | 1944 | 68.5% | |
| Common | 896 | 31.5% |
Most frequent Common characters
| Value | Count | Frequency (%) | |
| 216 | 24.1% | ||
| 3 | 140 | 15.6% | |
| 4 | 139 | 15.5% | |
| 5 | 132 | 14.7% | |
| 6 | 110 | 12.3% | |
| 7 | 88 | 9.8% | |
| 8 | 71 | 7.9% |
Most frequent Latin characters
| Value | Count | Frequency (%) | |
| l | 432 | 22.2% | |
| A | 216 | 11.1% | |
| G | 216 | 11.1% | |
| r | 216 | 11.1% | |
| a | 216 | 11.1% | |
| d | 216 | 11.1% | |
| e | 216 | 11.1% | |
| s | 216 | 11.1% |
Most occurring blocks
| Value | Count | Frequency (%) | |
| ASCII | 2840 | 100.0% |
Most frequent ASCII characters
| Value | Count | Frequency (%) | |
| l | 432 | 15.2% | |
| A | 216 | 7.6% | |
| 216 | 7.6% | ||
| G | 216 | 7.6% | |
| r | 216 | 7.6% | |
| a | 216 | 7.6% | |
| d | 216 | 7.6% | |
| e | 216 | 7.6% | |
| s | 216 | 7.6% | |
| 3 | 140 | 4.9% | |
| 4 | 139 | 4.9% | |
| 5 | 132 | 4.6% | |
| 6 | 110 | 3.9% | |
| 7 | 88 | 3.1% | |
| 8 | 71 | 2.5% |
| Distinct | 1 |
|---|---|
| Distinct (%) | 0.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Memory size | 7.1 KiB |
| All Students |
|---|
| Value | Count | Frequency (%) | |
| All Students | 896 | 100.0% |
Frequencies of value counts
Unique
| Unique | 0 ? |
|---|---|
| Unique (%) | 0.0% |
Histogram of lengths of the category
Length
| Max length | 12 |
|---|---|
| Median length | 12 |
| Mean length | 12 |
| Min length | 12 |
Most occurring characters
| Value | Count | Frequency (%) | |
| l | 1792 | 16.7% | |
| t | 1792 | 16.7% | |
| A | 896 | 8.3% | |
| 896 | 8.3% | ||
| S | 896 | 8.3% | |
| u | 896 | 8.3% | |
| d | 896 | 8.3% | |
| e | 896 | 8.3% | |
| n | 896 | 8.3% | |
| s | 896 | 8.3% |
Most occurring categories
| Value | Count | Frequency (%) | |
| Lowercase Letter | 8064 | 75.0% | |
| Uppercase Letter | 1792 | 16.7% | |
| Space Separator | 896 | 8.3% |
Most frequent Uppercase Letter characters
| Value | Count | Frequency (%) | |
| A | 896 | 50.0% | |
| S | 896 | 50.0% |
Most frequent Lowercase Letter characters
| Value | Count | Frequency (%) | |
| l | 1792 | 22.2% | |
| t | 1792 | 22.2% | |
| u | 896 | 11.1% | |
| d | 896 | 11.1% | |
| e | 896 | 11.1% | |
| n | 896 | 11.1% | |
| s | 896 | 11.1% |
Most frequent Space Separator characters
| Value | Count | Frequency (%) | |
| 896 | 100.0% |
Most occurring scripts
| Value | Count | Frequency (%) | |
| Latin | 9856 | 91.7% | |
| Common | 896 | 8.3% |
Most frequent Latin characters
| Value | Count | Frequency (%) | |
| l | 1792 | 18.2% | |
| t | 1792 | 18.2% | |
| A | 896 | 9.1% | |
| S | 896 | 9.1% | |
| u | 896 | 9.1% | |
| d | 896 | 9.1% | |
| e | 896 | 9.1% | |
| n | 896 | 9.1% | |
| s | 896 | 9.1% |
Most frequent Common characters
| Value | Count | Frequency (%) | |
| 896 | 100.0% |
Most occurring blocks
| Value | Count | Frequency (%) | |
| ASCII | 10752 | 100.0% |
Most frequent ASCII characters
| Value | Count | Frequency (%) | |
| l | 1792 | 16.7% | |
| t | 1792 | 16.7% | |
| A | 896 | 8.3% | |
| 896 | 8.3% | ||
| S | 896 | 8.3% | |
| u | 896 | 8.3% | |
| d | 896 | 8.3% | |
| e | 896 | 8.3% | |
| n | 896 | 8.3% | |
| s | 896 | 8.3% |
| Distinct | 1 |
|---|---|
| Distinct (%) | 0.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Memory size | 7.1 KiB |
| 2006 |
|---|
| Value | Count | Frequency (%) | |
| 2006 | 896 | 100.0% |
Frequencies of value counts
Unique
| Unique | 0 ? |
|---|---|
| Unique (%) | 0.0% |
Histogram of lengths of the category
Length
| Max length | 4 |
|---|---|
| Median length | 4 |
| Mean length | 4 |
| Min length | 4 |
Most occurring characters
| Value | Count | Frequency (%) | |
| 0 | 1792 | 50.0% | |
| 2 | 896 | 25.0% | |
| 6 | 896 | 25.0% |
Most occurring categories
| Value | Count | Frequency (%) | |
| Decimal Number | 3584 | 100.0% |
Most frequent Decimal Number characters
| Value | Count | Frequency (%) | |
| 0 | 1792 | 50.0% | |
| 2 | 896 | 25.0% | |
| 6 | 896 | 25.0% |
Most occurring scripts
| Value | Count | Frequency (%) | |
| Common | 3584 | 100.0% |
Most frequent Common characters
| Value | Count | Frequency (%) | |
| 0 | 1792 | 50.0% | |
| 2 | 896 | 25.0% | |
| 6 | 896 | 25.0% |
Most occurring blocks
| Value | Count | Frequency (%) | |
| ASCII | 3584 | 100.0% |
Most frequent ASCII characters
| Value | Count | Frequency (%) | |
| 0 | 1792 | 50.0% | |
| 2 | 896 | 25.0% | |
| 6 | 896 | 25.0% |
| Distinct | 96 |
|---|---|
| Distinct (%) | 14.2% |
| Missing | 218 |
| Missing (%) | 24.3% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 648.1445428 |
|---|---|
| Minimum | 593 |
| Maximum | 699 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 593 |
|---|---|
| 5-th percentile | 615.85 |
| Q1 | 636 |
| median | 648 |
| Q3 | 660 |
| 95-th percentile | 681 |
| Maximum | 699 |
| Range | 106 |
| Interquartile range (IQR) | 24 |
Descriptive statistics
| Standard deviation | 18.79485122 |
|---|---|
| Coefficient of variation (CV) | 0.02899793176 |
| Kurtosis | -0.02096183613 |
| Mean | 648.1445428 |
| Median Absolute Deviation (MAD) | 12 |
| Skewness | -0.03173929843 |
| Sum | 439442 |
| Variance | 353.2464325 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 655 | 22 | 2.5% | |
| 647 | 19 | 2.1% | |
| 641 | 19 | 2.1% | |
| 653 | 19 | 2.1% | |
| 656 | 19 | 2.1% | |
| 651 | 18 | 2.0% | |
| 645 | 18 | 2.0% | |
| 633 | 16 | 1.8% | |
| 636 | 16 | 1.8% | |
| 657 | 15 | 1.7% | |
| 650 | 14 | 1.6% | |
| 640 | 14 | 1.6% | |
| 637 | 13 | 1.5% | |
| 644 | 13 | 1.5% | |
| 646 | 13 | 1.5% | |
| 643 | 13 | 1.5% | |
| 649 | 12 | 1.3% | |
| 660 | 12 | 1.3% | |
| 661 | 12 | 1.3% | |
| 654 | 12 | 1.3% | |
| 642 | 12 | 1.3% | |
| 662 | 12 | 1.3% | |
| 658 | 12 | 1.3% | |
| 648 | 12 | 1.3% | |
| 664 | 12 | 1.3% | |
| Other values (71) | 309 | 34.5% | |
| (Missing) | 218 | 24.3% |
| Value | Count | Frequency (%) | |
| 593 | 1 | 0.1% | |
| 597 | 2 | 0.2% | |
| 598 | 1 | 0.1% | |
| 601 | 1 | 0.1% | |
| 603 | 1 | 0.1% | |
| 604 | 1 | 0.1% | |
| 605 | 1 | 0.1% | |
| 606 | 1 | 0.1% | |
| 607 | 2 | 0.2% | |
| 608 | 2 | 0.2% |
| Value | Count | Frequency (%) | |
| 699 | 1 | 0.1% | |
| 696 | 1 | 0.1% | |
| 695 | 2 | 0.2% | |
| 694 | 1 | 0.1% | |
| 693 | 2 | 0.2% | |
| 690 | 3 | 0.3% | |
| 688 | 1 | 0.1% | |
| 687 | 7 | 0.8% | |
| 686 | 2 | 0.2% | |
| 685 | 2 | 0.2% |
| Distinct | 370 |
|---|---|
| Distinct (%) | 41.3% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 200.3169643 |
|---|---|
| Minimum | 1 |
| Maximum | 1316 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 1 |
|---|---|
| 5-th percentile | 51 |
| Q1 | 88 |
| median | 137 |
| Q3 | 238.25 |
| 95-th percentile | 561.5 |
| Maximum | 1316 |
| Range | 1315 |
| Interquartile range (IQR) | 150.25 |
Descriptive statistics
| Standard deviation | 189.396914 |
|---|---|
| Coefficient of variation (CV) | 0.9454861434 |
| Kurtosis | 9.062007247 |
| Mean | 200.3169643 |
| Median Absolute Deviation (MAD) | 59 |
| Skewness | 2.702765249 |
| Sum | 179484 |
| Variance | 35871.19104 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 88 | 10 | 1.1% | |
| 77 | 10 | 1.1% | |
| 83 | 8 | 0.9% | |
| 94 | 8 | 0.9% | |
| 89 | 8 | 0.9% | |
| 87 | 8 | 0.9% | |
| 64 | 8 | 0.9% | |
| 124 | 7 | 0.8% | |
| 127 | 7 | 0.8% | |
| 71 | 7 | 0.8% | |
| 66 | 7 | 0.8% | |
| 100 | 7 | 0.8% | |
| 153 | 7 | 0.8% | |
| 115 | 7 | 0.8% | |
| 112 | 7 | 0.8% | |
| 129 | 7 | 0.8% | |
| 157 | 7 | 0.8% | |
| 86 | 7 | 0.8% | |
| 96 | 7 | 0.8% | |
| 108 | 7 | 0.8% | |
| 114 | 6 | 0.7% | |
| 57 | 6 | 0.7% | |
| 109 | 6 | 0.7% | |
| 78 | 6 | 0.7% | |
| 106 | 6 | 0.7% | |
| Other values (345) | 715 | 79.8% |
| Value | Count | Frequency (%) | |
| 1 | 1 | 0.1% | |
| 2 | 1 | 0.1% | |
| 16 | 2 | 0.2% | |
| 18 | 1 | 0.1% | |
| 19 | 1 | 0.1% | |
| 23 | 2 | 0.2% | |
| 24 | 2 | 0.2% | |
| 25 | 2 | 0.2% | |
| 28 | 2 | 0.2% | |
| 31 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 1316 | 1 | 0.1% | |
| 1302 | 1 | 0.1% | |
| 1224 | 1 | 0.1% | |
| 1186 | 1 | 0.1% | |
| 1141 | 1 | 0.1% | |
| 1138 | 1 | 0.1% | |
| 1094 | 1 | 0.1% | |
| 1069 | 1 | 0.1% | |
| 1056 | 1 | 0.1% | |
| 1051 | 1 | 0.1% |
| Distinct | 159 |
|---|---|
| Distinct (%) | 17.8% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 40.95302013 |
|---|---|
| Minimum | 0 |
| Maximum | 418 |
| Zeros | 19 |
| Zeros (%) | 2.1% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 2 |
| Q1 | 11 |
| median | 22 |
| Q3 | 47 |
| 95-th percentile | 141.35 |
| Maximum | 418 |
| Range | 418 |
| Interquartile range (IQR) | 36 |
Descriptive statistics
| Standard deviation | 53.82338114 |
|---|---|
| Coefficient of variation (CV) | 1.314271352 |
| Kurtosis | 13.16439458 |
| Mean | 40.95302013 |
| Median Absolute Deviation (MAD) | 14 |
| Skewness | 3.193702023 |
| Sum | 36612 |
| Variance | 2896.956357 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 12 | 28 | 3.1% | |
| 9 | 27 | 3.0% | |
| 11 | 26 | 2.9% | |
| 8 | 24 | 2.7% | |
| 16 | 23 | 2.6% | |
| 2 | 22 | 2.5% | |
| 14 | 21 | 2.3% | |
| 22 | 21 | 2.3% | |
| 17 | 19 | 2.1% | |
| 15 | 19 | 2.1% | |
| 18 | 19 | 2.1% | |
| 0 | 19 | 2.1% | |
| 25 | 19 | 2.1% | |
| 13 | 18 | 2.0% | |
| 7 | 18 | 2.0% | |
| 10 | 18 | 2.0% | |
| 20 | 18 | 2.0% | |
| 23 | 17 | 1.9% | |
| 3 | 17 | 1.9% | |
| 21 | 16 | 1.8% | |
| 6 | 16 | 1.8% | |
| 1 | 16 | 1.8% | |
| 28 | 16 | 1.8% | |
| 5 | 16 | 1.8% | |
| 19 | 14 | 1.6% | |
| Other values (134) | 407 | 45.4% |
| Value | Count | Frequency (%) | |
| 0 | 19 | 2.1% | |
| 1 | 16 | 1.8% | |
| 2 | 22 | 2.5% | |
| 3 | 17 | 1.9% | |
| 4 | 13 | 1.5% | |
| 5 | 16 | 1.8% | |
| 6 | 16 | 1.8% | |
| 7 | 18 | 2.0% | |
| 8 | 24 | 2.7% | |
| 9 | 27 | 3.0% |
| Value | Count | Frequency (%) | |
| 418 | 1 | 0.1% | |
| 391 | 1 | 0.1% | |
| 380 | 1 | 0.1% | |
| 370 | 1 | 0.1% | |
| 350 | 1 | 0.1% | |
| 320 | 1 | 0.1% | |
| 312 | 1 | 0.1% | |
| 293 | 1 | 0.1% | |
| 283 | 1 | 0.1% | |
| 281 | 1 | 0.1% |
| Distinct | 356 |
|---|---|
| Distinct (%) | 39.8% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 18.54317673 |
|---|---|
| Minimum | 0 |
| Maximum | 67.5 |
| Zeros | 19 |
| Zeros (%) | 2.1% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 2.6 |
| Q1 | 10.2 |
| median | 16.8 |
| Q3 | 24.1 |
| 95-th percentile | 43.205 |
| Maximum | 67.5 |
| Range | 67.5 |
| Interquartile range (IQR) | 13.9 |
Descriptive statistics
| Standard deviation | 11.98403162 |
|---|---|
| Coefficient of variation (CV) | 0.6462771612 |
| Kurtosis | 1.4415262 |
| Mean | 18.54317673 |
| Median Absolute Deviation (MAD) | 6.85 |
| Skewness | 1.09321953 |
| Sum | 16577.6 |
| Variance | 143.6170139 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0 | 19 | 2.1% | |
| 9.8 | 11 | 1.2% | |
| 20 | 9 | 1.0% | |
| 9.4 | 8 | 0.9% | |
| 18.3 | 8 | 0.9% | |
| 15.6 | 8 | 0.9% | |
| 17.5 | 7 | 0.8% | |
| 21.2 | 7 | 0.8% | |
| 14.9 | 6 | 0.7% | |
| 16.9 | 6 | 0.7% | |
| 11.4 | 6 | 0.7% | |
| 18 | 6 | 0.7% | |
| 17 | 6 | 0.7% | |
| 20.5 | 6 | 0.7% | |
| 20.2 | 6 | 0.7% | |
| 25 | 6 | 0.7% | |
| 19 | 6 | 0.7% | |
| 16.7 | 6 | 0.7% | |
| 19.4 | 6 | 0.7% | |
| 18.4 | 6 | 0.7% | |
| 11.3 | 6 | 0.7% | |
| 14.7 | 6 | 0.7% | |
| 7 | 5 | 0.6% | |
| 2.6 | 5 | 0.6% | |
| 3.6 | 5 | 0.6% | |
| Other values (331) | 718 | 80.1% |
| Value | Count | Frequency (%) | |
| 0 | 19 | 2.1% | |
| 0.3 | 1 | 0.1% | |
| 0.6 | 2 | 0.2% | |
| 1 | 1 | 0.1% | |
| 1.1 | 2 | 0.2% | |
| 1.3 | 1 | 0.1% | |
| 1.4 | 3 | 0.3% | |
| 1.7 | 1 | 0.1% | |
| 1.8 | 3 | 0.3% | |
| 1.9 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 67.5 | 1 | 0.1% | |
| 66.1 | 1 | 0.1% | |
| 61.1 | 1 | 0.1% | |
| 58.9 | 1 | 0.1% | |
| 57.9 | 1 | 0.1% | |
| 57.8 | 1 | 0.1% | |
| 57.1 | 1 | 0.1% | |
| 56.2 | 1 | 0.1% | |
| 56.1 | 1 | 0.1% | |
| 55 | 1 | 0.1% |
| Distinct | 203 |
|---|---|
| Distinct (%) | 22.7% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 65.12304251 |
|---|---|
| Minimum | 1 |
| Maximum | 553 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 1 |
|---|---|
| 5-th percentile | 8 |
| Q1 | 24 |
| median | 40 |
| Q3 | 78 |
| 95-th percentile | 209 |
| Maximum | 553 |
| Range | 552 |
| Interquartile range (IQR) | 54 |
Descriptive statistics
| Standard deviation | 73.11835552 |
|---|---|
| Coefficient of variation (CV) | 1.122772412 |
| Kurtosis | 12.30230511 |
| Mean | 65.12304251 |
| Median Absolute Deviation (MAD) | 21 |
| Skewness | 3.071253461 |
| Sum | 58220 |
| Variance | 5346.293914 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 21 | 28 | 3.1% | |
| 30 | 19 | 2.1% | |
| 22 | 18 | 2.0% | |
| 23 | 17 | 1.9% | |
| 34 | 17 | 1.9% | |
| 32 | 17 | 1.9% | |
| 26 | 16 | 1.8% | |
| 25 | 16 | 1.8% | |
| 31 | 15 | 1.7% | |
| 33 | 15 | 1.7% | |
| 36 | 14 | 1.6% | |
| 29 | 14 | 1.6% | |
| 40 | 14 | 1.6% | |
| 16 | 13 | 1.5% | |
| 38 | 13 | 1.5% | |
| 56 | 13 | 1.5% | |
| 18 | 12 | 1.3% | |
| 28 | 12 | 1.3% | |
| 20 | 12 | 1.3% | |
| 10 | 12 | 1.3% | |
| 15 | 12 | 1.3% | |
| 19 | 12 | 1.3% | |
| 39 | 12 | 1.3% | |
| 7 | 11 | 1.2% | |
| 35 | 11 | 1.2% | |
| Other values (178) | 529 | 59.0% |
| Value | Count | Frequency (%) | |
| 1 | 4 | 0.4% | |
| 2 | 1 | 0.1% | |
| 3 | 4 | 0.4% | |
| 4 | 9 | 1.0% | |
| 5 | 6 | 0.7% | |
| 6 | 3 | 0.3% | |
| 7 | 11 | 1.2% | |
| 8 | 8 | 0.9% | |
| 9 | 8 | 0.9% | |
| 10 | 12 | 1.3% |
| Value | Count | Frequency (%) | |
| 553 | 1 | 0.1% | |
| 518 | 1 | 0.1% | |
| 506 | 1 | 0.1% | |
| 504 | 1 | 0.1% | |
| 496 | 1 | 0.1% | |
| 471 | 1 | 0.1% | |
| 469 | 1 | 0.1% | |
| 430 | 1 | 0.1% | |
| 410 | 1 | 0.1% | |
| 361 | 1 | 0.1% |
Level 2%
Real number (ℝ≥0)
| Distinct | 385 |
|---|---|
| Distinct (%) | 43.1% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 30.98702461 |
|---|---|
| Minimum | 2.1 |
| Maximum | 68.9 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 2.1 |
|---|---|
| 5-th percentile | 10.295 |
| Q1 | 23.225 |
| median | 31.4 |
| Q3 | 39.4 |
| 95-th percentile | 48.8 |
| Maximum | 68.9 |
| Range | 66.8 |
| Interquartile range (IQR) | 16.175 |
Descriptive statistics
| Standard deviation | 11.39779204 |
|---|---|
| Coefficient of variation (CV) | 0.3678246682 |
| Kurtosis | -0.3195785394 |
| Mean | 30.98702461 |
| Median Absolute Deviation (MAD) | 8.05 |
| Skewness | -0.166957306 |
| Sum | 27702.4 |
| Variance | 129.9096635 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 33.3 | 10 | 1.1% | |
| 28.6 | 10 | 1.1% | |
| 36 | 8 | 0.9% | |
| 31 | 7 | 0.8% | |
| 37.1 | 7 | 0.8% | |
| 37.2 | 7 | 0.8% | |
| 32.2 | 6 | 0.7% | |
| 20 | 6 | 0.7% | |
| 35.5 | 6 | 0.7% | |
| 36.8 | 6 | 0.7% | |
| 42.1 | 6 | 0.7% | |
| 26.1 | 6 | 0.7% | |
| 24.6 | 6 | 0.7% | |
| 40 | 6 | 0.7% | |
| 39.8 | 6 | 0.7% | |
| 37.4 | 6 | 0.7% | |
| 26 | 6 | 0.7% | |
| 25 | 6 | 0.7% | |
| 31.3 | 6 | 0.7% | |
| 20.8 | 5 | 0.6% | |
| 27.9 | 5 | 0.6% | |
| 21.7 | 5 | 0.6% | |
| 29.8 | 5 | 0.6% | |
| 28.7 | 5 | 0.6% | |
| 14.9 | 5 | 0.6% | |
| Other values (360) | 737 | 82.3% |
| Value | Count | Frequency (%) | |
| 2.1 | 1 | 0.1% | |
| 2.3 | 1 | 0.1% | |
| 2.8 | 1 | 0.1% | |
| 3.6 | 1 | 0.1% | |
| 4.2 | 1 | 0.1% | |
| 4.3 | 3 | 0.3% | |
| 4.8 | 2 | 0.2% | |
| 5.6 | 1 | 0.1% | |
| 5.7 | 3 | 0.3% | |
| 5.9 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 68.9 | 1 | 0.1% | |
| 59.8 | 1 | 0.1% | |
| 57.4 | 1 | 0.1% | |
| 56.9 | 1 | 0.1% | |
| 56.6 | 2 | 0.2% | |
| 56 | 1 | 0.1% | |
| 55.8 | 1 | 0.1% | |
| 55.5 | 1 | 0.1% | |
| 55.1 | 1 | 0.1% | |
| 54.5 | 1 | 0.1% |
| Distinct | 221 |
|---|---|
| Distinct (%) | 24.7% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 79.14653244 |
|---|---|
| Minimum | 0 |
| Maximum | 559 |
| Zeros | 1 |
| Zeros (%) | 0.1% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 16 |
| Q1 | 35 |
| median | 55 |
| Q3 | 94.75 |
| 95-th percentile | 221.35 |
| Maximum | 559 |
| Range | 559 |
| Interquartile range (IQR) | 59.75 |
Descriptive statistics
| Standard deviation | 74.61083659 |
|---|---|
| Coefficient of variation (CV) | 0.9426924249 |
| Kurtosis | 9.278584537 |
| Mean | 79.14653244 |
| Median Absolute Deviation (MAD) | 25 |
| Skewness | 2.671714058 |
| Sum | 70757 |
| Variance | 5566.776936 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 41 | 17 | 1.9% | |
| 34 | 17 | 1.9% | |
| 38 | 17 | 1.9% | |
| 44 | 17 | 1.9% | |
| 37 | 15 | 1.7% | |
| 30 | 15 | 1.7% | |
| 35 | 14 | 1.6% | |
| 27 | 14 | 1.6% | |
| 29 | 13 | 1.5% | |
| 23 | 13 | 1.5% | |
| 46 | 12 | 1.3% | |
| 42 | 12 | 1.3% | |
| 32 | 12 | 1.3% | |
| 52 | 12 | 1.3% | |
| 45 | 12 | 1.3% | |
| 47 | 12 | 1.3% | |
| 89 | 11 | 1.2% | |
| 36 | 11 | 1.2% | |
| 51 | 11 | 1.2% | |
| 26 | 11 | 1.2% | |
| 25 | 10 | 1.1% | |
| 28 | 10 | 1.1% | |
| 78 | 10 | 1.1% | |
| 50 | 10 | 1.1% | |
| 49 | 10 | 1.1% | |
| Other values (196) | 576 | 64.3% |
| Value | Count | Frequency (%) | |
| 0 | 1 | 0.1% | |
| 1 | 1 | 0.1% | |
| 5 | 2 | 0.2% | |
| 6 | 2 | 0.2% | |
| 7 | 5 | 0.6% | |
| 8 | 2 | 0.2% | |
| 9 | 2 | 0.2% | |
| 10 | 3 | 0.3% | |
| 11 | 5 | 0.6% | |
| 12 | 6 | 0.7% |
| Value | Count | Frequency (%) | |
| 559 | 1 | 0.1% | |
| 507 | 1 | 0.1% | |
| 502 | 1 | 0.1% | |
| 482 | 1 | 0.1% | |
| 464 | 1 | 0.1% | |
| 440 | 1 | 0.1% | |
| 436 | 1 | 0.1% | |
| 430 | 1 | 0.1% | |
| 424 | 1 | 0.1% | |
| 389 | 1 | 0.1% |
| Distinct | 433 |
|---|---|
| Distinct (%) | 48.4% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 41.91957494 |
|---|---|
| Minimum | 0 |
| Maximum | 81.1 |
| Zeros | 1 |
| Zeros (%) | 0.1% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 14.365 |
| Q1 | 32.6 |
| median | 44 |
| Q3 | 52.3 |
| 95-th percentile | 62.505 |
| Maximum | 81.1 |
| Range | 81.1 |
| Interquartile range (IQR) | 19.7 |
Descriptive statistics
| Standard deviation | 14.3286019 |
|---|---|
| Coefficient of variation (CV) | 0.3418117174 |
| Kurtosis | -0.1967819867 |
| Mean | 41.91957494 |
| Median Absolute Deviation (MAD) | 9.55 |
| Skewness | -0.4473878889 |
| Sum | 37476.1 |
| Variance | 205.3088325 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 50 | 10 | 1.1% | |
| 53.7 | 9 | 1.0% | |
| 56.3 | 8 | 0.9% | |
| 43.6 | 7 | 0.8% | |
| 42.9 | 6 | 0.7% | |
| 46.3 | 6 | 0.7% | |
| 50.6 | 6 | 0.7% | |
| 35.2 | 6 | 0.7% | |
| 49.5 | 6 | 0.7% | |
| 48.5 | 6 | 0.7% | |
| 33.3 | 6 | 0.7% | |
| 48.9 | 6 | 0.7% | |
| 41.7 | 6 | 0.7% | |
| 40 | 6 | 0.7% | |
| 45.5 | 6 | 0.7% | |
| 40.6 | 5 | 0.6% | |
| 41.5 | 5 | 0.6% | |
| 42.6 | 5 | 0.6% | |
| 45.8 | 5 | 0.6% | |
| 52.5 | 5 | 0.6% | |
| 46.9 | 5 | 0.6% | |
| 42.7 | 5 | 0.6% | |
| 47.8 | 5 | 0.6% | |
| 45.9 | 5 | 0.6% | |
| 41 | 5 | 0.6% | |
| Other values (408) | 744 | 83.0% |
| Value | Count | Frequency (%) | |
| 0 | 1 | 0.1% | |
| 0.9 | 1 | 0.1% | |
| 5 | 1 | 0.1% | |
| 6.1 | 1 | 0.1% | |
| 6.5 | 1 | 0.1% | |
| 6.9 | 3 | 0.3% | |
| 7.3 | 2 | 0.2% | |
| 7.4 | 1 | 0.1% | |
| 8.4 | 1 | 0.1% | |
| 8.9 | 1 | 0.1% |
| Value | Count | Frequency (%) | |
| 81.1 | 1 | 0.1% | |
| 77.1 | 1 | 0.1% | |
| 75.8 | 1 | 0.1% | |
| 74 | 1 | 0.1% | |
| 73.6 | 1 | 0.1% | |
| 73.2 | 1 | 0.1% | |
| 73.1 | 1 | 0.1% | |
| 73 | 1 | 0.1% | |
| 72.3 | 1 | 0.1% | |
| 71.7 | 1 | 0.1% |
| Distinct | 91 |
|---|---|
| Distinct (%) | 10.2% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 15.53914989 |
|---|---|
| Minimum | 0 |
| Maximum | 133 |
| Zeros | 75 |
| Zeros (%) | 8.4% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0 |
| Q1 | 3 |
| median | 9 |
| Q3 | 20 |
| 95-th percentile | 56 |
| Maximum | 133 |
| Range | 133 |
| Interquartile range (IQR) | 17 |
Descriptive statistics
| Standard deviation | 20.07433358 |
|---|---|
| Coefficient of variation (CV) | 1.291855328 |
| Kurtosis | 8.305410535 |
| Mean | 15.53914989 |
| Median Absolute Deviation (MAD) | 7 |
| Skewness | 2.589522562 |
| Sum | 13892 |
| Variance | 402.9788687 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0 | 75 | 8.4% | |
| 1 | 69 | 7.7% | |
| 2 | 55 | 6.1% | |
| 5 | 54 | 6.0% | |
| 4 | 51 | 5.7% | |
| 3 | 48 | 5.4% | |
| 10 | 36 | 4.0% | |
| 7 | 32 | 3.6% | |
| 9 | 31 | 3.5% | |
| 6 | 30 | 3.3% | |
| 8 | 29 | 3.2% | |
| 12 | 29 | 3.2% | |
| 11 | 23 | 2.6% | |
| 14 | 18 | 2.0% | |
| 20 | 18 | 2.0% | |
| 19 | 17 | 1.9% | |
| 21 | 16 | 1.8% | |
| 15 | 13 | 1.5% | |
| 24 | 13 | 1.5% | |
| 18 | 13 | 1.5% | |
| 13 | 12 | 1.3% | |
| 23 | 11 | 1.2% | |
| 17 | 11 | 1.2% | |
| 27 | 11 | 1.2% | |
| 26 | 10 | 1.1% | |
| Other values (66) | 169 | 18.9% |
| Value | Count | Frequency (%) | |
| 0 | 75 | 8.4% | |
| 1 | 69 | 7.7% | |
| 2 | 55 | 6.1% | |
| 3 | 48 | 5.4% | |
| 4 | 51 | 5.7% | |
| 5 | 54 | 6.0% | |
| 6 | 30 | 3.3% | |
| 7 | 32 | 3.6% | |
| 8 | 29 | 3.2% | |
| 9 | 31 | 3.5% |
| Value | Count | Frequency (%) | |
| 133 | 1 | 0.1% | |
| 131 | 1 | 0.1% | |
| 129 | 1 | 0.1% | |
| 119 | 1 | 0.1% | |
| 112 | 1 | 0.1% | |
| 111 | 1 | 0.1% | |
| 107 | 1 | 0.1% | |
| 104 | 1 | 0.1% | |
| 101 | 1 | 0.1% | |
| 100 | 2 | 0.2% |
| Distinct | 252 |
|---|---|
| Distinct (%) | 28.2% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 8.553579418 |
|---|---|
| Minimum | 0 |
| Maximum | 47.5 |
| Zeros | 75 |
| Zeros (%) | 8.4% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0 |
| Q1 | 2.3 |
| median | 6.3 |
| Q3 | 11.6 |
| 95-th percentile | 26.435 |
| Maximum | 47.5 |
| Range | 47.5 |
| Interquartile range (IQR) | 9.3 |
Descriptive statistics
| Standard deviation | 8.486097157 |
|---|---|
| Coefficient of variation (CV) | 0.9921106407 |
| Kurtosis | 3.105645449 |
| Mean | 8.553579418 |
| Median Absolute Deviation (MAD) | 4.4 |
| Skewness | 1.654015435 |
| Sum | 7646.9 |
| Variance | 72.01384496 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 0 | 75 | 8.4% | |
| 1.2 | 13 | 1.5% | |
| 1.4 | 13 | 1.5% | |
| 1.9 | 12 | 1.3% | |
| 0.8 | 12 | 1.3% | |
| 8.3 | 11 | 1.2% | |
| 2.9 | 11 | 1.2% | |
| 6.5 | 11 | 1.2% | |
| 9.8 | 11 | 1.2% | |
| 5.3 | 10 | 1.1% | |
| 3.4 | 10 | 1.1% | |
| 1.1 | 10 | 1.1% | |
| 1 | 10 | 1.1% | |
| 4 | 9 | 1.0% | |
| 6 | 9 | 1.0% | |
| 0.6 | 8 | 0.9% | |
| 2.3 | 8 | 0.9% | |
| 5.4 | 8 | 0.9% | |
| 2.7 | 8 | 0.9% | |
| 0.7 | 8 | 0.9% | |
| 4.5 | 8 | 0.9% | |
| 11.4 | 8 | 0.9% | |
| 7.7 | 8 | 0.9% | |
| 0.4 | 8 | 0.9% | |
| 6.3 | 7 | 0.8% | |
| Other values (227) | 588 | 65.6% |
| Value | Count | Frequency (%) | |
| 0 | 75 | 8.4% | |
| 0.1 | 1 | 0.1% | |
| 0.2 | 2 | 0.2% | |
| 0.3 | 2 | 0.2% | |
| 0.4 | 8 | 0.9% | |
| 0.5 | 5 | 0.6% | |
| 0.6 | 8 | 0.9% | |
| 0.7 | 8 | 0.9% | |
| 0.8 | 12 | 1.3% | |
| 0.9 | 5 | 0.6% |
| Value | Count | Frequency (%) | |
| 47.5 | 1 | 0.1% | |
| 45.8 | 1 | 0.1% | |
| 45.7 | 1 | 0.1% | |
| 44.2 | 1 | 0.1% | |
| 43.3 | 1 | 0.1% | |
| 42.2 | 1 | 0.1% | |
| 40.4 | 1 | 0.1% | |
| 39.8 | 1 | 0.1% | |
| 39.3 | 1 | 0.1% | |
| 38.6 | 1 | 0.1% |
| Distinct | 251 |
|---|---|
| Distinct (%) | 28.1% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 94.68568233 |
|---|---|
| Minimum | 0 |
| Maximum | 688 |
| Zeros | 1 |
| Zeros (%) | 0.1% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 18 |
| Q1 | 39.25 |
| median | 67 |
| Q3 | 116 |
| 95-th percentile | 267.35 |
| Maximum | 688 |
| Range | 688 |
| Interquartile range (IQR) | 76.75 |
Descriptive statistics
| Standard deviation | 90.77084765 |
|---|---|
| Coefficient of variation (CV) | 0.9586544176 |
| Kurtosis | 8.518029656 |
| Mean | 94.68568233 |
| Median Absolute Deviation (MAD) | 33 |
| Skewness | 2.579506578 |
| Sum | 84649 |
| Variance | 8239.346782 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 38 | 16 | 1.8% | |
| 37 | 13 | 1.5% | |
| 41 | 13 | 1.5% | |
| 52 | 13 | 1.5% | |
| 76 | 12 | 1.3% | |
| 31 | 12 | 1.3% | |
| 39 | 11 | 1.2% | |
| 43 | 11 | 1.2% | |
| 28 | 11 | 1.2% | |
| 49 | 11 | 1.2% | |
| 42 | 11 | 1.2% | |
| 60 | 11 | 1.2% | |
| 27 | 10 | 1.1% | |
| 46 | 10 | 1.1% | |
| 40 | 10 | 1.1% | |
| 80 | 10 | 1.1% | |
| 50 | 10 | 1.1% | |
| 67 | 9 | 1.0% | |
| 45 | 9 | 1.0% | |
| 32 | 9 | 1.0% | |
| 61 | 9 | 1.0% | |
| 44 | 9 | 1.0% | |
| 34 | 9 | 1.0% | |
| 47 | 8 | 0.9% | |
| 48 | 8 | 0.9% | |
| Other values (226) | 629 | 70.2% |
| Value | Count | Frequency (%) | |
| 0 | 1 | 0.1% | |
| 1 | 1 | 0.1% | |
| 5 | 1 | 0.1% | |
| 6 | 2 | 0.2% | |
| 7 | 6 | 0.7% | |
| 8 | 2 | 0.2% | |
| 9 | 1 | 0.1% | |
| 10 | 1 | 0.1% | |
| 11 | 6 | 0.7% | |
| 12 | 5 | 0.6% |
| Value | Count | Frequency (%) | |
| 688 | 1 | 0.1% | |
| 598 | 1 | 0.1% | |
| 554 | 1 | 0.1% | |
| 552 | 1 | 0.1% | |
| 541 | 1 | 0.1% | |
| 524 | 1 | 0.1% | |
| 521 | 1 | 0.1% | |
| 520 | 1 | 0.1% | |
| 505 | 1 | 0.1% | |
| 495 | 1 | 0.1% |
| Distinct | 511 |
|---|---|
| Distinct (%) | 57.2% |
| Missing | 2 |
| Missing (%) | 0.2% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 50.47181208 |
|---|---|
| Minimum | 0 |
| Maximum | 97.9 |
| Zeros | 1 |
| Zeros (%) | 0.1% |
| Memory size | 7.1 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 14.625 |
| Q1 | 35.75 |
| median | 51.25 |
| Q3 | 64.45 |
| 95-th percentile | 84.875 |
| Maximum | 97.9 |
| Range | 97.9 |
| Interquartile range (IQR) | 28.7 |
Descriptive statistics
| Standard deviation | 20.37568072 |
|---|---|
| Coefficient of variation (CV) | 0.4037041643 |
| Kurtosis | -0.5110779366 |
| Mean | 50.47181208 |
| Median Absolute Deviation (MAD) | 14.35 |
| Skewness | -0.06970222123 |
| Sum | 45121.8 |
| Variance | 415.1683647 |
| Monotocity | Not monotonic |
Histogram with fixed size bins (bins=50)
| Value | Count | Frequency (%) | |
| 50 | 14 | 1.6% | |
| 66.7 | 8 | 0.9% | |
| 47.1 | 8 | 0.9% | |
| 59.4 | 7 | 0.8% | |
| 54.1 | 6 | 0.7% | |
| 54.5 | 6 | 0.7% | |
| 42.9 | 6 | 0.7% | |
| 33.3 | 5 | 0.6% | |
| 27.4 | 5 | 0.6% | |
| 56.4 | 4 | 0.4% | |
| 43.9 | 4 | 0.4% | |
| 41.9 | 4 | 0.4% | |
| 53.9 | 4 | 0.4% | |
| 73.6 | 4 | 0.4% | |
| 52.1 | 4 | 0.4% | |
| 62.9 | 4 | 0.4% | |
| 55.1 | 4 | 0.4% | |
| 63 | 4 | 0.4% | |
| 48.3 | 4 | 0.4% | |
| 64.9 | 4 | 0.4% | |
| 42.7 | 4 | 0.4% | |
| 59 | 4 | 0.4% | |
| 80 | 4 | 0.4% | |
| 68.4 | 4 | 0.4% | |
| 30.3 | 4 | 0.4% | |
| Other values (486) | 765 | 85.4% |
| Value | Count | Frequency (%) | |
| 0 | 1 | 0.1% | |
| 0.9 | 1 | 0.1% | |
| 5 | 1 | 0.1% | |
| 6.1 | 1 | 0.1% | |
| 6.5 | 1 | 0.1% | |
| 6.9 | 3 | 0.3% | |
| 7.3 | 2 | 0.2% | |
| 7.4 | 1 | 0.1% | |
| 8.4 | 1 | 0.1% | |
| 9.2 | 3 | 0.3% |
| Value | Count | Frequency (%) | |
| 97.9 | 1 | 0.1% | |
| 97.7 | 1 | 0.1% | |
| 96.6 | 1 | 0.1% | |
| 95.2 | 1 | 0.1% | |
| 94.4 | 1 | 0.1% | |
| 94.3 | 1 | 0.1% | |
| 93.5 | 1 | 0.1% | |
| 93.3 | 1 | 0.1% | |
| 93.1 | 3 | 0.3% | |
| 92.9 | 1 | 0.1% |
Pearson's r
The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.
Spearman's ρ
The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.
Kendall's τ
Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.
Phik (φk)
Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.First rows
| NYC Results on the New York State 2006 Math Test (Grades 3-8) | DBN | Grade | Category | Year | Mean Scale Score | Students Tested | Level 1# | Level 1% | Level 2# | Level 2% | Level 3# | Level 3% | Level 4# | Level 4% | Level 3 and 4# | Level 3 and 4% | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | NaN | 07X001 | 3 | All Students | 2006 | 654.0 | 104 | 18.0 | 17.3 | 25.0 | 24.0 | 52.0 | 50.0 | 9.0 | 8.7 | 61.0 | 58.7 |
| 1 | NaN | 07X001 | 4 | All Students | 2006 | 642.0 | 111 | 25.0 | 22.5 | 40.0 | 36.0 | 41.0 | 36.9 | 5.0 | 4.5 | 46.0 | 41.4 |
| 2 | NaN | 07X001 | 5 | All Students | 2006 | 633.0 | 109 | 31.0 | 28.4 | 41.0 | 37.6 | 35.0 | 32.1 | 2.0 | 1.8 | 37.0 | 33.9 |
| 3 | NaN | 07X001 | All Grades | All Students | 2006 | NaN | 324 | 74.0 | 22.8 | 106.0 | 32.7 | 128.0 | 39.5 | 16.0 | 4.9 | 144.0 | 44.4 |
| 4 | NaN | 07X005 | 3 | All Students | 2006 | 661.0 | 96 | 12.0 | 12.5 | 20.0 | 20.8 | 51.0 | 53.1 | 13.0 | 13.5 | 64.0 | 66.7 |
| 5 | NaN | 07X005 | 4 | All Students | 2006 | 664.0 | 84 | 9.0 | 10.7 | 13.0 | 15.5 | 55.0 | 65.5 | 7.0 | 8.3 | 62.0 | 73.8 |
| 6 | NaN | 07X005 | 5 | All Students | 2006 | 639.0 | 113 | 25.0 | 22.1 | 41.0 | 36.3 | 43.0 | 38.1 | 4.0 | 3.5 | 47.0 | 41.6 |
| 7 | NaN | 07X005 | All Grades | All Students | 2006 | NaN | 293 | 46.0 | 15.7 | 74.0 | 25.3 | 149.0 | 50.9 | 24.0 | 8.2 | 173.0 | 59.0 |
| 8 | NaN | 07X018 | 3 | All Students | 2006 | 656.0 | 86 | 12.0 | 14.0 | 21.0 | 24.4 | 47.0 | 54.7 | 6.0 | 7.0 | 53.0 | 61.6 |
| 9 | NaN | 07X018 | 4 | All Students | 2006 | 655.0 | 72 | 7.0 | 9.7 | 17.0 | 23.6 | 44.0 | 61.1 | 4.0 | 5.6 | 48.0 | 66.7 |
Last rows
| NYC Results on the New York State 2006 Math Test (Grades 3-8) | DBN | Grade | Category | Year | Mean Scale Score | Students Tested | Level 1# | Level 1% | Level 2# | Level 2% | Level 3# | Level 3% | Level 4# | Level 4% | Level 3 and 4# | Level 3 and 4% | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 886 | NaN | 12X318 | 7 | All Students | 2006 | 621.0 | 184 | 55.0 | 29.9 | 91.0 | 49.5 | 38.0 | 20.7 | 0.0 | 0.0 | 38.0 | 20.7 |
| 887 | NaN | 12X318 | 8 | All Students | 2006 | 628.0 | 212 | 55.0 | 25.9 | 105.0 | 49.5 | 51.0 | 24.1 | 1.0 | 0.5 | 52.0 | 24.5 |
| 888 | NaN | 12X318 | All Grades | All Students | 2006 | NaN | 396 | 110.0 | 27.8 | 196.0 | 49.5 | 89.0 | 22.5 | 1.0 | 0.3 | 90.0 | 22.7 |
| 889 | NaN | 12X341 | 6 | All Students | 2006 | 646.0 | 83 | 11.0 | 13.3 | 33.0 | 39.8 | 38.0 | 45.8 | 1.0 | 1.2 | 39.0 | 47.0 |
| 890 | NaN | 12X341 | 7 | All Students | 2006 | 638.0 | 72 | 11.0 | 15.3 | 39.0 | 54.2 | 20.0 | 27.8 | 2.0 | 2.8 | 22.0 | 30.6 |
| 891 | NaN | 12X341 | All Grades | All Students | 2006 | NaN | 155 | 22.0 | 14.2 | 72.0 | 46.5 | 58.0 | 37.4 | 3.0 | 1.9 | 61.0 | 39.4 |
| 892 | NaN | 12X691 | 3 | All Students | 2006 | 666.0 | 16 | 1.0 | 6.3 | 3.0 | 18.8 | 9.0 | 56.3 | 3.0 | 18.8 | 12.0 | 75.0 |
| 893 | NaN | 12X691 | 4 | All Students | 2006 | 649.0 | 19 | 2.0 | 10.5 | 10.0 | 52.6 | 5.0 | 26.3 | 2.0 | 10.5 | 7.0 | 36.8 |
| 894 | NaN | 12X691 | 5 | All Students | 2006 | 637.0 | 16 | 3.0 | 18.8 | 8.0 | 50.0 | 5.0 | 31.3 | 0.0 | 0.0 | 5.0 | 31.3 |
| 895 | NaN | 12X691 | All Grades | All Students | 2006 | NaN | 51 | 6.0 | 11.8 | 21.0 | 41.2 | 19.0 | 37.3 | 5.0 | 9.8 | 24.0 | 47.1 |